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Finding the Fourth Proportional to 393,957.88, 590,850.42 and 113,414.20

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Solution

The fourth proportional to 393,957.88, 590,850.42 and 113,414.20 is: 170,096.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,957.88 : 590,850.42 = 113,414.20 : x
  2. Step 2: Convert to fraction form
    393,957.88/590,850.42 = 113,414.20/x
  3. Step 3: Cross multiply
    393,957.88x = 590,850.42 × 113,414.20
  4. Step 4: Simplify right side
    393,957.88x = 67,010,827,703.96
  5. Step 5: Solve for x
    x = 67,010,827,703.96/393,957.88
  6. Step 6: Final answer
    x = 170,096.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.